If the coefficient of x2 and the constant term have the same sign and if the coefficient of x term is zero, then the quadratic equation has no real roots.
This statement is True.
Because in this case discriminant is always negative.
For example, in ax2+ bx + c = 0, as b = 0
And a and c have same sign then ac > 0
⇒ Discriminant = b2 – 4ac = – 4 a c < 0